By what authority can you just declare it impossible for science to do something? It would have been thought impossible to go to the moon in the early 20th century. But we did.
String Theory predicts a host of new particles, the Higgs field and its associated Boson. All of which were out of reach of any kind of experimental evidence. Now the LHC at CERN is reaching those energies and it's already looking like they may have confirmation of the Higgs particle. This is genuinely HUGE.
Things once thought impossible, made possible by science.
The first cause argument, is a self contradiction. Thats the point I'm trying to make.
If you argue that the universe couldn't just exist on it's own, then you have to beg the question of where did the maker come from. And his maker, and his, and his and so on ad infinitum.
If you claim that "god" always existed, then you contradict your first assertion.
As I've said before, science would love to find something suggesting the existence of a god. Many, many have tried to find evidence. Absolutely nothing has been found, and nothing science has discovered has even hinted, as of yet, for the need for one.
As far as you wanting 3 examples , I don't even know if there are three. Conservation principles, uncertainty principles, quantum effects, are all
I know. If you're calling this faith, are you saying that faith isn't a good reason to believe something? Because I agree.
